Synchronization of complex chaotic systems in series expansion form

被引:13
作者
Ge, Zheng-Ming [1 ]
Yang, Cheng-Hsiung [1 ]
机构
[1] Natl Chiao Tung Univ, Dept Mech Engn, Hsinchu 300, Taiwan
关键词
D O I
10.1016/j.chaos.2006.04.072
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper studies the synchronization of complex chaotic systems in series expansion form by Lyapunov asymptotical stability theorem. A sufficient condition is given for the asymptotical stability of an error dynamics, and is applied to guiding the design of the secure communication. Finally, numerical results are studied for the Quantum-CNN oscillators synchronizing with unidirectional/bidirectional linear coupling to show the effectiveness of the proposed synchronization strategy. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1649 / 1658
页数:10
相关论文
共 37 条
[31]  
SMIRNOV VI, 1964, COURSE HIGHER MATH, V1, P331
[32]   Impulsive synchronization of chaotic Lur'e systems by measurement feedback [J].
Suykens, JAK ;
Yang, T ;
Chua, LO .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1998, 8 (06) :1371-1381
[33]   Master-slave synchronization of Lur'e systems [J].
Suykens, JAK ;
Vandewalle, J .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1997, 7 (03) :665-669
[34]   Implementation of bidirectional chaotic communication systems based on Lorenz circuits [J].
Tsay, SC ;
Huang, CK ;
Qiu, DL ;
Chen, WT .
CHAOS SOLITONS & FRACTALS, 2004, 20 (03) :567-579
[35]   Some observer-based criteria for discrete-time generalized chaos synchronization [J].
Yang, XS ;
Chen, GR .
CHAOS SOLITONS & FRACTALS, 2002, 13 (06) :1303-1308
[36]   Global synchronization of three coupled chaotic systems with ring connection [J].
Yu, YG ;
Zhang, SC .
CHAOS SOLITONS & FRACTALS, 2005, 24 (05) :1233-1242
[37]   Synchronization stability of three chaotic systems with linear coupling [J].
Zhou, TS ;
Lü, JH ;
Chen, GR ;
Tang, Y .
PHYSICS LETTERS A, 2002, 301 (3-4) :231-240